`(x+1)` is a factor of the polynomial

If the polynomial (ax^(3)+bx^(2)-x+6) be divided by (x + 2), the remainder is (-3) and if (x - 1) is a factor of this polynomial, then find the values of a and b.

Find values of a and b if (x^(2)+1) is a factor of the polynomial x^(4)+x^(3)+8x^(2)+ax+b

If (x + 1) be a factor of the polynomial p(x)=x^(3)+k , then k =

If ( x - 1 ) is the factor of the polynomial ( x^3 - 2x^2 + mx - 4 ) then find the value of m .

If (x-1) is the factor of the polynomial (x^3-2x^2+mx-4) then find the value of m.

If (x + 1) be a factor of the polynomial (x^(200)+2x^(201)+k) , then determine the value of k.

If (x + 1) be a factor of the polynomial (x^(43)+kx+2) , determine the value of k.

Assertion : (x+2) and (x-1) are factors of the polynomial x^(4)+x^(3)+2x^(2)+4x-8 . Reason : For a polynomial p(x) of degree ge1, x-a is a factor of the polynomial p(x) if and only if p(a)ge1 .